2 citations · 2 across the 12 of their papers we have counts for
12 papers
Representations of infinite species
Raphael Bennett-Tennenhaus, Job Daisie Rock
We consider species, consisting of a possibly infinite set of rings, and bimodules between them. Simson realised the category of representations as a functor category, which we pro…
Linear relations over commutative rings
Raphael Bennett-Tennenhaus
We consider the category of linear relations over an arbitrary commutative ring, and identify it as a subcategory of the category of Kronecker representations. We observe that this…
String algebras over local rings: regular examples
Raphael Bennett-Tennenhaus
String algebras, in the usual sense, are finite-dimensional algebras over a given ground field. We recall a generalisation of the definition of a string algebra, which was introduc…
A geometric model for semilinear locally gentle algebras
Esther Banaian, Raphael Bennett-Tennenhaus, Karin M. Jacobsen +1
We consider certain generalizations of gentle algebras that we call semilinear locally gentle algebras. These rings are examples of semilinear clannish algebras as introduced by th…
String algebras over local rings: admissibility and biseriality
Raphael Bennett-Tennenhaus
For a path algebra over a noetherian local ground ring, the notion of an admissible ideal was defined by Raggi-C{á}rdenas and Salmer{ó}n. We provide sufficient conditions for admis…
Semilinear clannish algebras arising from surfaces with orbifold points
Raphael Bennett-Tennenhaus, Daniel Labardini-Fragoso
Semilinear clannish algebras have been recently introduced by the first author and Crawley-Boevey as a generalization of Crawley-Boevey's clannish algebras. In the present paper, w…
Semilinear clannish algebras
Raphael Bennett-Tennenhaus, William Crawley-Boevey
We define a class of associative algebras generalizing 'clannish algebras', as introduced by the second author, but also incorporating semilinear structure, like a skew polynomial…
Classification of modules for complete gentle algebras
Raphael Bennett-Tennenhaus
We classify finitely generated modules over a class of algebras introduced in the authors' Ph.D thesis, called complete gentle algebras. These rings generalise the finite-dimension…
Characterisations of -pure-injectivity in triangulated categories and applications to endoperfect objects
Raphael Bennett-Tennenhaus
We provide various ways to characterise -pure-injective objects in a compactly generated triangulated category. These characterisations mimic analogous well-known results from t…
-pure-injectives in homotopy categories for gentle algebras
Raphael Bennett-Tennenhaus
We consider the homotopy category of complexes of projective modules over any gentle algebra. We prove that indecomposable -pure-injective objects in s must be shifts of string…
-pure-injective modules for string algebras and linear relations
Raphael Bennett-Tennenhaus, William Crawley-Boevey
We prove that indecomposable -pure-injective modules for a string algebra are string or band modules. The key step in our proof is a splitting result for infinite-dimensional li…
Functorial filtrations for homotopy categories of some generalisations of gentle algebras
Raphael Bennett-Tennenhaus
We consider algebras defined over a complete, local and noetherian ground ring. They are gentle algebras in case the ground ring is a field. The unbounded homotopy category of comp…